三元系统中的不精确量子转向不等式
近日,安徽大学王栋团队研究了三元系统中的不精确量子转向不等式。2026年4月7日出版的《物理评论A》杂志发表了这项成果。
量子导引作为非局域量子关联的一种体现,在实现各类量子信息处理任务中发挥着关键作用。然而,实际应用常常因测量设备不完美或不可信而面临重大挑战。
研究组探讨了测量不精确性对量子导引的影响,特别关注不可信方测量设备中的误差。他们首先分析了这些误差如何影响导引不等式的评估,然后推导了非完美测量下基于关联矩阵的两体导引不等式。研究结果表明,即使是微小的测量误差也会显著损害量子导引性的认证,且这种效应随着系统维度的增加而变得尤为突出。此外,通过将所提出的导引不等式经由关联矩阵推广到修正的三体情形,研究组证明测量不完美性对多体量子导引的影响远比两体情况严重。该结果强调了在实验量子导引中考虑测量不完美性的关键必要性,并为在高维量子系统中表征和缓解这些效应提供了理论框架。
附:英文原文
Title: Imprecise quantum steering inequalities in tripartite systems
Author: Yan Zhao, Li-Juan Li, Zheng-Peng Xu, Liu Ye, Dong Wang
Issue&Volume: 2026/04/07
Abstract: Quantum steering, as a manifestation of nonlocal quantum correlations, plays a crucial role in enabling various quantum information processing tasks. However, practical implementations are often hindered by significant challenges arising from imperfect or untrusted measurement devices. This study investigates the impact of measurement inaccuracies on quantum steering, with a particular focus on errors in the untrusted partys measurement devices. We first analyze how such errors affect the evaluation of steering inequalities and then derive bipartite steering inequalities based on correlation matrices under imperfect measurements. Our findings show that even small measurement errors can significantly compromise the certification of quantum steerability, an effect that becomes particularly pronounced as the system dimension increases. Furthermore, by extending the proposed steering inequality to a modified tripartite scenario via correlation matrices, we demonstrate that the influence of measurement imperfections is far more severe in multipartite quantum steering than in the bipartite case. Our results underscore the critical need to account for measurement imperfections in experimental quantum steering and provide a theoretical framework for characterizing and mitigating these effects in high-dimensional quantum systems.
DOI: 10.1103/g7zk-9w9j
Source: https://journals.aps.org/pra/abstract/10.1103/g7zk-9w9j
期刊信息
Physical Review A:《物理评论A》,创刊于1970年。隶属于美国物理学会,最新IF:2.97
官方网址:https://journals.aps.org/pra/
投稿链接:https://authors.aps.org/Submissions/login/new


